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2017 Korea USCM
2
2
Part of
2017 Korea USCM
Problems
(1)
A two var poly is linear comb of (x+ay)^k
Source: 2017 South Korea USCM P2
8/15/2020
Show that any real coefficient polynomial
f
(
x
,
y
)
f(x,y)
f
(
x
,
y
)
is a linear combination of polynomials of the form
(
x
+
a
y
)
k
(x+ay)^k
(
x
+
a
y
)
k
. (
a
a
a
is a real number and
k
k
k
is a non-negative integer.)
polynomial
linear algebra
algebra
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